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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Milnor–Moore theorem ： ウィキペディア英語版 Milnor–Moore theorem In algebra, the Milnor–Moore theorem, introduced in , states: given a connected graded cocommutative Hopf algebra ''A'' over a field of characteristic zero with , the natural Hopf algebra homomorphism :$U(P(A))\; \backslash to\; A$ from the universal enveloping algebra of the "graded" Lie algebra $P(A)$ of primitive elements of ''A'' to ''A'' is an isomorphism. (The universal enveloping algebra of a graded Lie algebra ''L'' is the quotient of the tensor algebra of ''L'' by the two-sided ideal generated by elements ''xy'' - (-1)|''x''||''y''|(''y'' ).) == References == *(Lecture 3 ) of Hopf algebras by Spencer Bloch *J. May, "(Some remarks on the structure of Hopf algebras )" *J.W. Milnor, J.C. Moore, "On the structure of Hopf algebras" Ann. of Math. (2), 81 : 2 (1965) pp. 211–264 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Milnor–Moore theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.